Assertion (A): d dx ( e^ x ) = e^ x 4 x e^ x . Reason (R): d dx [ ( (x))] = 1 x x , x 1 .
Mathematics · Class 12 · CBSE — Continuity and Differentiability
Assertion (A): \(\dfrac{d}{dx}\left(\sqrt{e^{\sqrt{x}}}\right) = \dfrac{e^{\sqrt{x}}}{4\sqrt{x e^{\sqrt{x}}}}\).
Reason (R): \(\dfrac{d}{dx}[\log(\log(x))] = \dfrac{1}{x \log x}\), \(x \gt 1\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(B) Both (A) and (R) are true but (R) is not the correct explanation of (A).
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